hyperCI: Confidence interval for population size (N) in hypergeometric distribution.
Description
Computes a confidence interval for population size (N) in hypergeometric distribution.
Usage
hyperCI(M, n, m, conf.level = 0.95)
Arguments
M
Number of successes in the population.
n
Number of observations in the sample.
m
Number of observed successes in the sample.
conf.level
Level of confidence to use for constructing confidence intervals (default is 0.95).
Value
A 1x2 matrix that contains the lower and upper confidence interval bounds.
Details
This is an inefficient brute-force algorithm. The algorithm computes the conf.level range of possible values for m, as if it was unknown, for a large range of values of N. It then finds all possible values of N for which m was in the conf.level range. The smallest and largest values of N for which m was in the conf.level range are the CI endpoints.